> The government contractors (private enterprises) are usually tasked with building stuff
Ah yes, situation where the government makes a plan and then hands it to the one (1) qualified defense contractor whose facilities are build in swing states to benefit specific congressional campaigns is completely different from central planning.
There are some resemblances, which indicate that you might not have a fully functioning free market. But central planning in the context of von Mises refers to something else. It's about the organization of whole national economies, as in planned economies, a thing you find in communist states or Lenin's "war communism".